6 papers
Structure of Clifford-Weyl Algebras And Representations of ortho-symplectic Lie Superalgebras
Nasser Boroojerdian
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inn…
Super Space-time, a Model for Gravity and Dark Matter
Nasser Boroojerdian
In this paper, we use the notion of super tangent bundle for a space-time manifold, and use super metrics on it to model gravity and some types of matter that is the source of the…
Heegaard Floer Homology and Balanced Presentations of Groups
Neda Bagherifard, Nasser Boroojerdian
Let be a group with a finite balanced presentation . We associate a Heegaard Floer homology group with the pair based on some extra choices and t…
Operator-Valued Tensors on Manifolds: A Framework for Field Quantization
Hassan Feizabadi, Nasser Boroojerdian
In this paper we try to prepare a framework for field quantization. To this end, we aim to replace the field of scalars R by self-adjoint elements of a commutative C-algebra, and r…
Geometrization of Mass in General Relativity
Nasser Boroojerdian
In this paper we will extend the notion of tangent bundle to a $\z$ graded tangent bundle. This graded bundle has a Lie algebroid structure and we can develop notions semi-riemanni…
Application of Lie algebroid structures to unification of Einstein and yang-mills field equations
Naiereh Elyasi, Nasser Boroojerdian
Yang-mills field equations describe new forces in the context of Lie groups and principle bundles. It is of interest to know if the new forces and gravitation can be described in t…